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Finding the Fourth Proportional to 586.77, 880.07 and 153.92

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Solution

The fourth proportional to 586.77, 880.07 and 153.92 is: 230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.77 : 880.07 = 153.92 : x
  2. Step 2: Convert to fraction form
    586.77/880.07 = 153.92/x
  3. Step 3: Cross multiply
    586.77x = 880.07 × 153.92
  4. Step 4: Simplify right side
    586.77x = 135,461.80
  5. Step 5: Solve for x
    x = 135,461.80/586.77
  6. Step 6: Final answer
    x = 230.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.